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Finding the Fourth Proportional to 304,328.10, 456,492.15 and 209,849.70

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Solution

The fourth proportional to 304,328.10, 456,492.15 and 209,849.70 is: 314,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,328.10 : 456,492.15 = 209,849.70 : x
  2. Step 2: Convert to fraction form
    304,328.10/456,492.15 = 209,849.70/x
  3. Step 3: Cross multiply
    304,328.10x = 456,492.15 × 209,849.70
  4. Step 4: Simplify right side
    304,328.10x = 95,794,740,729.86
  5. Step 5: Solve for x
    x = 95,794,740,729.86/304,328.10
  6. Step 6: Final answer
    x = 314,774.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.